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What are facts about rational numbers?
Rational numbers can be written as a fraction with a non-zero denominator,as a terminating,a decimal,or a repeating decimal.
Can a rational number be repeating decimal?
Yes, a rational number can be a repeating decimal. A repeating decimal is a decimal in which one or more digits repeat infinitely. For example, 1/3 is a rational number that can be written as the repeating decimal 0.333...
Do rational numbers have a repeating decimal?
They can. And if you include repeating 0s and repeating 9s, then all rational numbers can be written with infinitely long repeating digits.
Is a decimal form of an irrational number a repeating decimal?
Not necessarily. Remember that the definition of an irrational number is a number that can't be expressed as a simple fraction. 2/3, for example, is rational by that definition even though its decimal form is a repeating decimal. Since irrational numbers cannot be written as fractions, they don't have fraction forms. So basically, numbers with repeating decimals are considered rational. Irrational numbers don't have repeating decimals.
Is 3.456 repeating rational or irrational?
The number 3.456 repeating (often written as (3.456\overline{456})) is a rational number because it can be expressed as a fraction. Rational numbers are defined as numbers that can be written in the form ( \frac{a}{b} ), where ( a ) and ( b ) are integers and ( b \neq 0 ). Since 3.456 repeating has a repeating decimal pattern, it fits this definition.
What are facts about rational numbers?
Rational numbers can be written as a fraction with a non-zero denominator,as a terminating,a decimal,or a repeating decimal.
Can a rational number be repeating decimal?
Yes, a rational number can be a repeating decimal. A repeating decimal is a decimal in which one or more digits repeat infinitely. For example, 1/3 is a rational number that can be written as the repeating decimal 0.333...
How can a decimal be a rational number-?
Rational Numbers are any number that can be written in fraction form .This includes integers, terminating decimals, and repeating decimals as well as fractions. A decimal number can be written in rational numbers depending on the place value of the decimal point.
Is 8.2 a rational number?
Yes. Any terminating decimal is a rational number. Any repeating decimal also.
Is the square root of 51 a rational number?
no: the decimal is not repeating or terminating and therefore cannot be written as a fraction, which is one of the two requirements to be a rational number.
What type of number is 3.33333?
The number 3.33333 is a rational number, specifically a repeating decimal. It can be expressed as 10/3 in fraction form, which means it can be written as a ratio of two integers. Rational numbers can be written as terminating decimals or repeating decimals, like in this case.
Is 75.082106 repeating rational or irrational?
The number 75.082106 with a repeating decimal is rational. A rational number can be expressed as a fraction of two integers, where the denominator is not zero. In this case, the repeating decimal can be written as a fraction, making it a rational number. Irrational numbers cannot be expressed as fractions and have non-repeating, non-terminating decimal expansions.
Does all the numbers have to repeat in order to be a rational number?
For a number to be rational you need to be able to write it as a fraction. To answer your question, it must repeat as a decimal or else terminate which can be thought of as repeating zeroes. Further, every repeating decimal can be written as a fraction and you can find the fraction by using the formula for the sum of an infinite geometric series.
Is 0.62 repeating a rational number?
As written '0.62' it is a terminating rational decimal 0.626262.... is a repeating rational decimal. Note the repetition of the number followed by three or more full stops to indicate repetition. NB Both are rational because both can be converted to a ratio/fraction.
A decimal that can be written into a fraction is called?
The decimal representation of a rational number.
Do rational numbers have a repeating decimal?
They can. And if you include repeating 0s and repeating 9s, then all rational numbers can be written with infinitely long repeating digits.
Is a decimal form of an irrational number a repeating decimal?
Not necessarily. Remember that the definition of an irrational number is a number that can't be expressed as a simple fraction. 2/3, for example, is rational by that definition even though its decimal form is a repeating decimal. Since irrational numbers cannot be written as fractions, they don't have fraction forms. So basically, numbers with repeating decimals are considered rational. Irrational numbers don't have repeating decimals.
